which equation describes this line? A. y-3=2(x-2) B. y-9=2(x-1) C. y-1=2(x-9) D. y-2=2(x-3)

Answer:
y = 2x + 7
Step-by-step explanation:
Step 1: Find slope
m = (9 - 3)/(1 + 2)
m = 2
y = 2x + b
Step 2: Find b
9 = 2(1) + b
9 = 2 + b
7 = b
Step 3: Rewrite equation
y = 2x + 7
Answer:
B) y - 9 = 2(x - 1)
Step-by-step explanation:
(-2, 3) ;(1,9)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-3}{1-[-2]}\\\\=\frac{6}{1+2}\\\\=\frac{6}{3}\\\\=2[/tex]
(1, 9 ) ; m = 2
Equation: [tex]y - y_{1}=m(x - x_{1})\\\\[/tex]
y - 9 = 2(x - 1)
y - 9 = 2x -2
y = 2x - 2 + 9
y = 2x + 7